After advice from Alexander Reynolds I bought and installed various GIK products. This is the outcome in my 13' 8" x 12' 6" x 8' room.

There are a couple more pictures in my gallery as well as views of how it was before with Auralex foam only.
Auralex foam only went down to 125Hz so the main effect of the GIK panels was more bass control, leading to more bass from the music and less from the room - more musical bass in fact.
I also spent a lot of time - some eight months - trying to find the best locations for the speakers and listening chair. I used a free software, REW (Room Equalisation Wizard), and microphone to find the best position. I defined the best position as one where the bass (up to 500Hz) was the smoothest. There turned out to be two locations.
One was 'The Thirds' arrangement, namely speakers and chair one third of the length of the relevant wall into the room. I tried this for a while and it is interesting as it gives a depth to the sound I never had. However the novelty wore off and the anomalies from my Red Book CDs became annoying. I could never get it exactly right for satisfying music.
The second set up was as you see in the picture, namely speakers about as far apart as they can be and chair quite close to the back wall. It's only a 2D image but this is where I found the sound most to my liking. I used an equaliser to fine tune the frequency response through the whole range, as well as adjusting for my sixty year old ears.
A key improvement was moving the equipment to the side wall from in between the speakers. This not only improved the sound but allowed room treatment to be more easily placed on the front wall.